Math Reflection Across Y Axis

Every point is the same distance from a central line.

Math reflection across y axis. For example when point p with coordinates 5 4 is reflecting across the y axis and mapped onto point p the coordinates of p are 5 4 notice that the y coordinate for both points did not change but the value of the x coordinate changed from 5 to 5. Place red point f 1 at coordinates 3 4. Now to reflect in the y axis. If we get the same function from a math reflection it is a symmetrical function specifically even.

For each of my examples above the reflections in either the x or y axis produced a graph that was. F x x 3 3x 2 x 2. Now notice how the blue triangle d 2 e 2 f 2 ended up right on top of the red triangle d 1 f 1 e 1 both showing as the same triangle. A reflection is a flip over a line.

Even and odd functions. Place red point e 1 at coordinates 3 4. Reflection over the y axis. Reflection in y axis green.

The general rule for a reflection over the y axis r y axis a b rightarrow a b. When the mirror line is the y axis we change each x y into x y fold the paper. F x x 3 3x 2 x 2. On this lesson you will learn how to perform reflections over the x axis and reflections over the y axis also known as across the x axis and across the y a.

A reflection in the y axis can be seen in diagram 4 in which a is reflected to its image a. Triangle def is formed by reflecting abc across the y axis and has vertices d 4 6 e 6 2 and f 2 4. Reflection on a coordinate grid involves flipping figures on a coordinate grid reflection in math takes place when a figure makes a mirror image of itself reflection in math usually of a figure takes place over either the x axis or the y axis you can reflect on a coordinate grid by changing the sign on the x or y coordinates depending on which axis you reflect over. Before we get into reflections across the y axis make sure you ve refreshed your memory on how to do simple vertical translation and horizontal translation.

All of the points on triangle abc undergo the same change to form def. Reflection across the y axis. Place red point d 1 at coordinates 0 2. You may want to try this little activity.

A reflection across the line y x switches the x and y coordinates of all the points in a figure such that x y becomes y x. You can think of reflections as a flip over a designated line of reflection. We really should mention even and odd functions before leaving this topic. In the applet above where the axis of reflection is the y axis do the following.

There are different types of transformations and their graphs one of which is a math reflection across the y axis. Learn about reflection in mathematics.